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Finding the Fourth Proportional to 2,601.48, 3,900.06 and 1,214.08

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Solution

The fourth proportional to 2,601.48, 3,900.06 and 1,214.08 is: 1,820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.48 : 3,900.06 = 1,214.08 : x
  2. Step 2: Convert to fraction form
    2,601.48/3,900.06 = 1,214.08/x
  3. Step 3: Cross multiply
    2,601.48x = 3,900.06 × 1,214.08
  4. Step 4: Simplify right side
    2,601.48x = 4,734,984.84
  5. Step 5: Solve for x
    x = 4,734,984.84/2,601.48
  6. Step 6: Final answer
    x = 1,820.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.